Isaac Newton is credited for discovering the fact that objects cool at a rate proportional to the difference in the object's temperature and its surroundings. The function that models this is: T (t) = Ts + (To – Ts)et %3D - T (t) is the object's temperature after t minutes To is the object's initial temperature Ts is the temperature of the object's surroundings (ambient temperature) r is the cooling factor (similar to a rate) Problem: A 192 °F cup of coffee is set into a 63 °F room. After 20 minutes, the coffee is found to be 139 °F. Find To, Ts, and r then complete the given formula for the temperature of the coffee as a function of time: (use as many decimal places for r as possible) Number T(t) = Number +( Number Number Je %3D Estimate the temperature of the cup of coffee after a total of 30 minutes. Number °F (round to one decimal place)

Q: If A = A−¹ . 9 7 1 0 1 5 00 01

A: The matrix is given byTo determine: The inverse of the given matrix.Formula used:

Q: auto maker

A: Confidence interval =95% sample size [n] =46

Q: Sseet clx2?

A: =?

Q: Vx - 3 dx x=3

A:

Q: s+s+ !

A:

Q: Help!! Answer correctly

A:

Q: what is variable

A: We want to understand what is variable.In statistics variable is defined as any quantity ,…

Q: not clear

A: A transformation T:Rn→Rm is linear if and only if the following relationshipshold for all vectors u…

Q: dt tv

A: First simplify the denominator then integrate as shown below.

Q: Find aly if and of to

A: Differentiation

Q: evaluate| 2 – i

A: Evaluate the modulus of a complex number

Q: The telephone bills for the past month for four families are $48, $65, $39, and $81. The value of…

A: The given data is appropriate for measures of central tendency.

Q: Draw and find

A:

Q: xy dxdy Hw

A: See attached file for a step by step explanation.

Q: bijection.

A:

Q: 9. 2 14 6 -67.

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: What's T and P

A:

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: ext dx 8X-X

A: We have to evaluate the ∫dx8x-x2

Q: ant understand  a single thing that is written

A: We need to time in hours travelled by snail to cover 1171.1 miles.

Q: What is t

A: Note: After seeing the previous explanation, we observe that the student has some doubts  related…

Q: It 3. Mow

A: The given statement is 3n≥2n+1 for any positive integer n≥1. To prove the above statement, we use…

Q: Need (v) and (vi).

A:

Q: Which

A: Using Pythagoras theorem, the length (L) of the rectangle becomes:…

Q: All of them please

A: We are allowed to answer three subparts at a time. So, we are answering the first three subparts,…

Q: True or False. Zc Q

A:

Q: Consider the following loops on the Klein bottle. (1) Decide whether they are orientation reversing…

A: question 1)  ) Decide whether they are orientation reversing or preserving. Explain ?The given…